Select all angle measures for which sin(∅) = - ( (√2) /2) a) 3π/4
b) 5π/4
c) 7π/4
d) 9π/4
e) 13π/4

I do not understand the steps to take, thank you for any help

b) 5π/4

c) 7π/4

e) 13π/4

Step-by-step explanation:

sin θ = -½√2

There's really no algebra to be done here.  There are two ways you can solve.  One, you can use a calculator.  Two, you can memorize your unit circle.

Either way, it helps to draw the unit circle.  sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2.  This happens at two places: θ = 5π/4 and 7π/4.

Next, we need to check the options that are greater than 2π.

9π/4 is the same as π/4.

13π/4 is the same as 5π/4.

So the three correct answers are 5π/4, 7π/4, and 13π/4.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.